If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
Question
If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
Solution
To find the number of sides of a regular polygon, you can use the formula for the sum of interior angles, which is (n-2) * 180 degrees, where n is the number of sides.
Given that the sum of the interior angles is 1440 degrees, you can set up the equation:
(n-2) * 180 = 1440
Solving for n, you get:
n - 2 = 1440 / 180
n - 2 = 8
Adding 2 to both sides, you get:
n = 8 + 2
n = 10
So, the polygon has 10 sides.
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